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If (a,0) is a point on a diameter of the...

If (a,0) is a point on a diameter of the circle `x^2+y^2=4`, then `x^2-4x-a^2=0` has

A

exactly one real root in (-1,0]

B

exactly one real root in [2,5]

C

distinct roots greater than -1

D

distinct roots less than 5

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PATHFINDER-CIRCLE-QUESTION BANK
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  2. Two circles with radii a and b touch each other externally such that t...

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  3. If (a,0) is a point on a diameter of the circle x^2+y^2=4, then x^2-4x...

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  4. If (alpha ,beta) is a point on the circle whose centre is on the x-axi...

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  5. Three concentrict circles of which the biggest is x^2+y^2=1 , have the...

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  6. A circle of constant radius 'r' passes through origin O and cuts the a...

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  7. For each natural number k, let Ck denotes the circle with radius k uni...

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  8. For each natural number k, let Ck denotes the circle with radius k uni...

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  9. P is a variable point on the line L = 0. Tangents are drawn to the cir...

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  10. P is a variable point on the line L = 0. Tangents are drawn to the cir...

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  11. Match List - I with List-II

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  12. Match List - I with List-II Let the functions defined in List - I ha...

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  13. If two circles (x-1)^2+(y-3)^2=r^2 and x^2+y^2-8x+2y+8=0 intersect in ...

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  14. Radius of a circle cuts the x-axis at two points at distance 4 units f...

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  15. Let PQ and RS be tangents at the extremities of one diameter PR of a c...

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  16. If the circles x^2 + y^2 + 2x + 2ky + 6 = 0 and x^2 + y^2 + 2ky + k = ...

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  17. The equation of the circle which touches the axis of y at a distance +...

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  18. The circle x^2+y^2-4x-4y+4=0 is inscribed in a triangle which has two ...

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  19. Find the intervals of the values of 'a' for which the line y + x = 0 b...

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  20. If the two lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 cut the co-...

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